Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 (5 points)

A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.199 in., determine the strain in the compression reinforcement, ε’s.

(06.07 MC)  An analyst wants to determine the relationship between speed, in miles per hour, and the time, in hours, it takes to drive 5 miles. Twenty trials are completed and the correlation coefficient between speed and time is determined to be -0.276. Therefore, slower speed was related to greater time. How is the correlation affected if the units for time are changed from hours to minutes? (3 points)

Students are expected to have read and understood the Syllabus, Course Calendar, and Grading breakdown for this course. By answering this question you are signifying that you have completed the above tasks.

(06.03 MC)  Aaliyah wants to determine how age and gender are related to movie genre preference in her town. She selects a simple random sample of 35 males from the 20- to 30-year age group and records their age, gender, and movie genre preference (comedy, romance, or horror). She also selects an independent simple random sample of 45 females from the 45- to 55-year age group and records the same information. Which is the most important observation about Aaliyah’s plan? (3 points)

(08.01 MC) Which of the following describes the role of water in supporting the chemical reactions that occur within various life forms?

In a civil case, the complaint describes the facts as the plaintiff knows them

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, , …   (5 points)

A beam has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 4 No. 6 bars. The concrete strength is 5,800 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

A satellite is to be put into an elliptical orbit around a moon as shown below. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. (5 points)